{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"figure.dpi\"] = 80\n",
    "\n",
    "def remove_frame():\n",
    "    for spine in plt.gca().spines.values():\n",
    "        spine.set_visible(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import autograd as ag\n",
    "import autograd.numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Beale function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 563,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def beale(x, y):\n",
    "#     return (1.5 - x + x*y)**2 + (2.25 - x + x*y**2)**2 + (2.625 - x + x*y**3)**2\n",
    "\n",
    "# grad_x = ag.grad(beale, argnum=0)\n",
    "# grad_y = ag.grad(beale, argnum=1)\n",
    "\n",
    "# minima = np.array([3., .5])\n",
    "\n",
    "def gaussian(x, y):\n",
    "    return (x-0.0)**2 / (2*2.**2) + (y-0.0)**2/(2*0.5**2)\n",
    "    #return (x-0.0)**2 / (2*1.**2) + (y-0.0)**2/(2*1.**2)\n",
    "\n",
    "grad_x = ag.grad(gaussian, argnum=0)\n",
    "grad_y = ag.grad(gaussian, argnum=1)\n",
    "\n",
    "minima = np.array([0., .0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 564,
   "metadata": {},
   "outputs": [],
   "source": [
    "number_of_points = 200\n",
    "# margin = 4.5\n",
    "# x_min = 0. - margin / 2\n",
    "# x_max = 0. + margin\n",
    "# y_min = 0. - margin / 2\n",
    "# y_max = 0. + margin / 2\n",
    "margin = 5.0\n",
    "x_min = 0. - margin \n",
    "x_max = 0. + margin\n",
    "y_min = 0. - margin \n",
    "y_max = 0. + margin \n",
    "x_points = np.linspace(x_min, x_max, number_of_points) \n",
    "y_points = np.linspace(y_min, y_max, number_of_points)\n",
    "x_mesh, y_mesh = np.meshgrid(x_points, y_points)\n",
    "# z = np.array([beale(xps, yps) for xps, yps in zip(x_mesh, y_mesh)])\n",
    "z = np.array([gaussian(xps, yps) for xps, yps in zip(x_mesh, y_mesh)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 565,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x640 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.colors import LogNorm\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "\n",
    "# ax.contour(x_mesh, y_mesh, z, levels=np.logspace(-.5, 5, 35), norm=LogNorm(), cmap=plt.cm.RdBu_r)\n",
    "ax.contour(x_mesh, y_mesh, z, levels=10, cmap=plt.cm.RdBu_r)\n",
    "ax.plot(*minima, 'r.', markersize=20, label=\"minimum\")\n",
    "\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "\n",
    "ax.set_xlim((x_min, x_max))\n",
    "ax.set_ylim((y_min, y_max))\n",
    "\n",
    "for s in ax.spines.values():\n",
    "    s.set_visible(False)\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig(\"anisotrope.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 527,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import norm\n",
    "\n",
    "class GradientDescent:\n",
    "    def __init__(self, x0, y0, lr=0.005, n_steps=300):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.n_steps = 300\n",
    "        \n",
    "    def run(self):\n",
    "        x, y = self.x0, self.y0\n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            x_new = x - self.lr * grad_x(x, y) \n",
    "            y_new = y - self.lr * grad_y(x, y) \n",
    "            x, y = x_new, y_new\n",
    "            \n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history\n",
    "    \n",
    "class StochasticGradientDescent:\n",
    "    def __init__(self, x0, y0, lr=0.005, n_steps=300):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.n_steps = 300\n",
    "        \n",
    "    def run(self):\n",
    "        x, y = self.x0, self.y0\n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            x_new = x - self.lr * (grad_x(x, y) + 3*norm.rvs(1))\n",
    "            y_new = y - self.lr * (grad_y(x, y) + 3*norm.rvs(1))\n",
    "            x, y = x_new, y_new\n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history\n",
    "    \n",
    "class Momentum:\n",
    "    def __init__(self, x0, y0, lr=0.005, beta=0.9, n_steps=300):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.beta = beta\n",
    "        self.n_steps = 300\n",
    "        \n",
    "    def run(self):\n",
    "        velocity_x, velocity_y = 0.0, 0.0\n",
    "        x, y = self.x0, self.y0\n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            velocity_x = beta * velocity_x + grad_x(x, y)\n",
    "            velocity_y = beta * velocity_y + grad_y(x, y)\n",
    "            x_new = x - lr * velocity_x \n",
    "            y_new = y - lr * velocity_y\n",
    "            x, y = x_new, y_new\n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history\n",
    "\n",
    "class Nesterov:\n",
    "    def __init__(self, x0, y0, lr=0.005, beta=0.9, n_steps=300):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.beta = beta\n",
    "        self.n_steps = 300\n",
    "        \n",
    "    def run(self):\n",
    "        velocity_x, velocity_y = 0.0, 0.0\n",
    "        x, y = self.x0, self.y0\n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            velocity_x_prev = velocity_x \n",
    "            velocity_y_prev = velocity_y \n",
    "            \n",
    "            velocity_x = beta * velocity_x - self.lr * grad_x(x, y)\n",
    "            velocity_y = beta * velocity_y - self.lr * grad_y(x, y)\n",
    "            \n",
    "            x_new = x + velocity_x + self.beta * (velocity_x - velocity_x_prev)\n",
    "            y_new = y + velocity_y + self.beta * (velocity_y - velocity_y_prev)\n",
    "            \n",
    "            x, y = x_new, y_new\n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history    \n",
    "    \n",
    "class AdaGrad:\n",
    "    def __init__(self, x0, y0, lr=0.005, n_steps=300, epsilon=1e-12):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.n_steps = n_steps\n",
    "        self.epsilon = epsilon\n",
    "        \n",
    "    def run(self):\n",
    "        x, y = self.x0, self.y0\n",
    "        grad_squared_x = 0.0\n",
    "        grad_squared_y = 0.0\n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            gx = grad_x(x, y)\n",
    "            gy = grad_y(x, y)\n",
    "            grad_squared_x += gx**2 \n",
    "            grad_squared_y += gy**2 \n",
    "            \n",
    "            x_new = x - self.lr * grad_x(x, y) / np.sqrt(grad_squared_x + self.epsilon)\n",
    "            y_new = y - self.lr * grad_y(x, y) / np.sqrt(grad_squared_y + self.epsilon)\n",
    "            \n",
    "            x, y = x_new, y_new\n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history\n",
    "    \n",
    "class RMSProp:\n",
    "    def __init__(self, x0, y0, lr=0.005, n_steps=300, epsilon=1e-12, decay=0.9):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.n_steps = n_steps\n",
    "        self.epsilon = epsilon\n",
    "        self.decay = decay\n",
    "        \n",
    "    def run(self):\n",
    "        x, y = self.x0, self.y0\n",
    "        grad_squared_x = 0.0\n",
    "        grad_squared_y = 0.0\n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            gx = grad_x(x, y)\n",
    "            gy = grad_y(x, y)\n",
    "            grad_squared_x = self.decay * grad_squared_x + (1-self.decay) * gx **2\n",
    "            grad_squared_y = self.decay * grad_squared_y + (1-self.decay) * gy **2\n",
    "            \n",
    "            x_new = x - self.lr * grad_x(x, y) / np.sqrt(grad_squared_x + self.epsilon)\n",
    "            y_new = y - self.lr * grad_y(x, y) / np.sqrt(grad_squared_y + self.epsilon)\n",
    "            \n",
    "            x, y = x_new, y_new\n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history\n",
    "    \n",
    "class Adam:\n",
    "    def __init__(self, x0, y0, lr=0.005, n_steps=300, epsilon=1e-12, beta1=0.9, beta2=0.999):\n",
    "        self.x0 = x0\n",
    "        self.y0 = y0\n",
    "        self.lr = lr\n",
    "        self.n_steps = n_steps\n",
    "        self.epsilon = epsilon\n",
    "        self.beta1 = beta1\n",
    "        self.beta2 = beta2\n",
    "        \n",
    "    def run(self):\n",
    "        x, y = self.x0, self.y0\n",
    "        \n",
    "        g1_x = 0.0\n",
    "        g2_x = 0.0\n",
    "        g1_y = 0.0\n",
    "        g2_y = 0.0\n",
    "        \n",
    "        history = [(x, y)]\n",
    "        \n",
    "        for i in range(self.n_steps):\n",
    "            gx = grad_x(x, y) \n",
    "            gy = grad_y(x, y)\n",
    "              \n",
    "            g1_x = self.beta1 * g1_x + (1.-self.beta1) * gx\n",
    "            g1_y = self.beta1 * g1_y + (1.-self.beta1) * gy\n",
    "            \n",
    "            g2_x = self.beta2 * g2_x + (1.-self.beta2) * gx**2\n",
    "            g2_y = self.beta2 * g2_y + (1.-self.beta2) * gy**2\n",
    "            \n",
    "            g1_unbiased_x = g1_x / (1. - self.beta1 ** (i+1))\n",
    "            g2_unbiased_x = g2_x / (1. - self.beta2 ** (i+1))\n",
    "            g1_unbiased_y = g1_y / (1. - self.beta1 ** (i+1))\n",
    "            g2_unbiased_y = g2_y / (1. - self.beta2 ** (i+1))\n",
    "            \n",
    "            x_new = x - self.lr * g1_unbiased_x / np.sqrt(g2_unbiased_x + self.epsilon)\n",
    "            y_new = y - self.lr * g1_unbiased_y / np.sqrt(g2_unbiased_y + self.epsilon)\n",
    "            \n",
    "            x, y = x_new, y_new\n",
    "            history.append((x, y))   \n",
    "            \n",
    "        history = np.array(history)\n",
    "        \n",
    "        return history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 543,
   "metadata": {},
   "outputs": [],
   "source": [
    "x0, y0 = 0.7, 1.4\n",
    "# x0, y0 = -2.0, -2.0\n",
    "\n",
    "history = {}    \n",
    "# history[\"GD\"] = GradientDescent(x0, y0, lr=0.333).run()\n",
    "history[\"GD\"] = GradientDescent(x0, y0, lr=0.01).run()\n",
    "# history[\"SGD\"] = StochasticGradientDescent(x0, y0).run()\n",
    "# history[\"momentum\"] = Momentum(x0, y0).run()\n",
    "# history[\"nesterov\"] = Nesterov(x0, y0).run()\n",
    "history[\"adagrad\"] = AdaGrad(x0, y0, lr=0.1).run()\n",
    "history[\"rmsprop\"] = RMSProp(x0, y0, lr=0.1).run()\n",
    "history[\"adam\"] = Adam(x0, y0, lr=0.1).run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 544,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x640 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "\n",
    "ax.contour(x_mesh, y_mesh, z, levels=np.logspace(-.5, 5, 35), norm=LogNorm(), cmap=plt.cm.RdBu_r)\n",
    "# ax.contour(x_mesh, y_mesh, z, levels=10, cmap=plt.cm.RdBu_r)\n",
    "ax.plot(*minima, 'k.', markersize=20, label=\"minimum\")\n",
    "\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "\n",
    "ax.set_xlim((x_min, x_max))\n",
    "ax.set_ylim((y_min, y_max))\n",
    "\n",
    "for s in ax.spines.values():\n",
    "    s.set_visible(False)\n",
    "    \n",
    "# line_gd, = ax.plot([], [], color=\"b\", label=\"GD\")\n",
    "# line_sgd, = ax.plot([], [], color=\"r\", label=\"SGD\")\n",
    "# line_momentum, = ax.plot([], [], color=\"g\", label=\"Momentum\")\n",
    "# line_nest, = ax.plot([], [], color=\"orange\", label=\"Nesterov\")\n",
    "line_adagrad, = ax.plot([], [], color=\"b\", label=\"AdaGrad\")\n",
    "line_rmsprop, = ax.plot([], [], color=\"r\", label=\"RMSProp\")\n",
    "line_adam, = ax.plot([], [], color=\"g\", label=\"Adam\")\n",
    "    \n",
    "# def init():\n",
    "#     return (line_gd, line_sgd, line_momentum, line_nest, line_adagrad)\n",
    "\n",
    "def animate(i):\n",
    "#    line_gd.set_data(history[\"GD\"][:i, 0], history[\"GD\"][:i, 1])  \n",
    "#     line_sgd.set_data(history[\"SGD\"][:i, 0], history[\"SGD\"][:i, 1])  \n",
    "#     line_momentum.set_data(history[\"momentum\"][:i, 0], history[\"momentum\"][:i, 1]) \n",
    "#     line_nest.set_data(history[\"nesterov\"][:i, 0], history[\"nesterov\"][:i, 1]) \n",
    "    line_adagrad.set_data(history[\"adagrad\"][:i, 0], history[\"adagrad\"][:i, 1]) \n",
    "    line_rmsprop.set_data(history[\"rmsprop\"][:i, 0], history[\"rmsprop\"][:i, 1]) \n",
    "    line_adam.set_data(history[\"adam\"][:i, 0], history[\"adam\"][:i, 1]) \n",
    "    return (line_gd, line_sgd, line_momentum, line_nest, line_adagrad, line_rmsprop, line_adam)\n",
    "\n",
    "plt.legend(loc=\"upper left\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 545,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "NwAAACAAAAAZAAAAGQAAADwAAAAgAAAAGQAAABkAAAA5AAAAIAAAABkAAAAZAAAAOwAAACAAAAAZ\n",
       "AAAAGQAAADkAAAAgAAAAGQAAABkAAAA+AAAAIAAAABkAAAAbAAAAOgAAACAAAAAZAAAAGQAAADwA\n",
       "AAAgAAAAGQAAABkAAAA2AAAAIAAAABkAAAAZAAAAPQAAACAAAAAZAAAAGQAAADgAAAAgAAAAGQAA\n",
       "ABkAAAA5AAAAIgAAABkAAAAZAAAAKgAAACAAAAAZAAAAGQAAAC8AAAAgAAAAGQAAABkAAAA9AAAA\n",
       "IAAAABkAAAAZAAEKCAAAANwAAAAoAAAAJQAAABcAAABLAAAAHAAAABcAAAAXAAAANwAAABwAAAAX\n",
       "AAAAFwAAADIAAAAdAAAAFwAAABcAAAA0AAAAHAAAABcAAAAXAAAAMgAAAB0AAAAXAAAAFwAAACkA\n",
       "AAAcAAAAFwAAABcAAAAqAAAAHAAAABcAAAAXAAAANAAAABwAAAAXAAAAFwAAACkAAAAcAAAAFwAA\n",
       "ABcAAAAlAAAAHAAAABcAAAAXAAAAHwAAABwAAAAXAAAAFwAAAB8AAAAUc3RjbwAAAAAAAAABAAAA\n",
       "LAAAAGJ1ZHRhAAAAWm1ldGEAAAAAAAAAIWhkbHIAAAAAAAAAAG1kaXJhcHBsAAAAAAAAAAAAAAAA\n",
       "LWlsc3QAAAAlqXRvbwAAAB1kYXRhAAAAAQAAAABMYXZmNTYuNDAuMTAx\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 545,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib import animation, rc\n",
    "from IPython.display import HTML\n",
    "\n",
    "anim = animation.FuncAnimation(fig, animate, init_func=init, \n",
    "                               frames=n_steps, interval=50, blit=True)\n",
    "\n",
    "#HTML(anim.to_jshtml())\n",
    "HTML(anim.to_html5_video())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 546,
   "metadata": {},
   "outputs": [],
   "source": [
    "anim.save(\"opt-adaptive.mp4\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 315,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 480x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(n_steps+1), np.mean((history[\"GD\"] - minima)**2, axis=1), label=\"GD\", color=\"b\")\n",
    "# plt.plot(range(n_steps+1), np.mean((history[\"SGD\"] - minima)**2, axis=1), label=\"SGD\", color=\"r\")\n",
    "# plt.plot(range(n_steps+1), np.mean((history[\"momentum\"] - minima)**2, axis=1), label=\"Momentum\", color=\"g\")\n",
    "# plt.plot(range(n_steps+1), np.mean((history[\"nesterov\"] - minima)**2, axis=1), label=\"Nesterov\", color=\"orange\")\n",
    "# plt.plot(range(n_steps+1), np.mean((history[\"adagrad\"] - minima)**2, axis=1), label=\"AdaGrad\", color=\"cyan\")\n",
    "# plt.plot(range(n_steps+1), np.mean((history[\"rmsprop\"] - minima)**2, axis=1), label=\"RMSProp\", color=\"k\")\n",
    "# plt.plot(range(n_steps+1), np.mean((history[\"adam\"] - minima)**2, axis=1), label=\"Adam\", color=\"magenta\")\n",
    "plt.yscale(\"log\")\n",
    "plt.legend()\n",
    "remove_frame()\n",
    "plt.savefig(\"opt-loss-gd.png\")\n",
    "plt.show()"
   ]
  }
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